Error Estimate for Two-Dimensional Coupled Burgers’ Equations By Weak Galerkin Finite Element Method

Autor:	Ahmed J. Hussein, Hashim A. Kashkool
Rok vydání:	2020
Předmět:	History Work (thermodynamics) Partial differential equation Basis (linear algebra) Discrete time and continuous time Applied mathematics Element (category theory) Differential operator Constant (mathematics) Finite element method Computer Science Applications Education Mathematics
Zdroj:	Journal of Physics: Conference Series. 1530:012065
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/1530/1/012065
Popis:	A weak Galerkin finite element method (WG-FEM) can be considered a general finite element methods for solving partial differential equations (PDEs) by approximating the differential operators as distributions in weak forms. A weak Galerkin finite element method is used in this work for solving two Dimensional Burgers’ equations in lowest order Raviart-Thomas element RT 0 with polynomails of constant basis. Both the continuous and discrete time WG-FEM are analysed.The optimal order estimates in H 2-error and L 2 –error are obtained. Numerical results are applied to clarify the theoretical analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::00675618858f178c9658682c4d6cd1e7 https://doi.org/10.1088/1742-6596/1530/1/012065 Zobrazit plný text záznamu